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Finding the Fourth Proportional to 16,013.40, 24,020.10 and 10,174.20

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Solution

The fourth proportional to 16,013.40, 24,020.10 and 10,174.20 is: 15,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.40 : 24,020.10 = 10,174.20 : x
  2. Step 2: Convert to fraction form
    16,013.40/24,020.10 = 10,174.20/x
  3. Step 3: Cross multiply
    16,013.40x = 24,020.10 × 10,174.20
  4. Step 4: Simplify right side
    16,013.40x = 244,385,301.42
  5. Step 5: Solve for x
    x = 244,385,301.42/16,013.40
  6. Step 6: Final answer
    x = 15,261.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.